In an isosceles trapezoid, the bases are 4 and 10. The sides are 5. Find the height of the trapezoid.

The height of the trapezium is the leg of a right-angled triangle, in which the hypotenuse is the side of the trapezium, the second leg is the difference between the bases of the trapezium, divided by 2.
h ^ 2 = 25 – (10 – 4) / 2)) ^ 2 = 25 – 9 = 16;
h = 4.



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